Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bo |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
Δ |
1041581974916431872 = 219 · 32 · 78 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30767083,65684141105] |
[a1,a2,a3,a4,a6] |
Generators |
[3118:-9791:1] |
Generators of the group modulo torsion |
j |
3220940352753689938853496625/1041581974916431872 |
j-invariant |
L |
10.50471015974 |
L(r)(E,1)/r! |
Ω |
0.22294269465137 |
Real period |
R |
0.30998968308659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774v2 |
Quadratic twists by: -3 |